Find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. Use the approximation 3.14 for pi.(1 point)

Question

Responses

471 inches
471 inches

471 square inches
471 square inches

314 square inches
314 square inches

345.4 square inches

Answer 1

To find the surface area of a cylinder, you need to calculate the area of the two circular bases and the area of the curved surface.

The area of each circular base can be found using the formula A = πr^2, where A is the area and r is the radius.
For the given cylinder, each base has a radius of 5 inches, so the area of each base is:
A = 3.14 * 5^2 = 3.14 * 25 = 78.5 square inches

The curved surface area can be found using the formula A = 2πrh, where A is the area, r is the radius, and h is the height.
For the given cylinder, the radius is 5 inches and the height is 10 inches, so the curved surface area is:
A = 2 * 3.14 * 5 * 10 = 314 square inches

Adding the areas of the two bases and the curved surface, we get the total surface area:
Surface area = 2 * 78.5 + 314 = 157 + 314 = 471 square inches

Therefore, the surface area of the cylinder is 471 square inches.